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2x²x5 [x) = x² + 1 is a polynomial, so it is continuous at every number in its domain. is a rational function, so it is continuous at every number in its domain. is a composition of functions that are continuous for all real numbers, so it is continuous at ever is not continuous at every number in its domain. of these domain. (Enter your answer using interval notation.)

2x²x5 [x) = x² + 1 is a polynomial, so it is continuous at every number in its domain. is a rational function, so it is continuous at every number in its domain. is a composition of functions that are continuous for all real numbers, so it is continuous at ever is not continuous at every number in its domain. of these domain. (Enter your answer using interval notation.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

please solve this two-part question. thank you. 

Explain, using the theorems, why the function is continuous at every number in its domain. 2x²-x-5 x² + 1 F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. F(x) is not continuous at every number in its domain. none of these F(x)= = State the domain. (Enter your answer using interval notation.)
Transcribed Image Text:Explain, using the theorems, why the function is continuous at every number in its domain. 2x²-x-5 x² + 1 F(x) is a polynomial, so it is continuous at every number in its domain. F(x) is a rational function, so it is continuous at every number in its domain. F(x) is a composition of functions that are continuous for all real numbers, so it is continuous at every number in its domain. F(x) is not continuous at every number in its domain. none of these F(x)= = State the domain. (Enter your answer using interval notation.)
How would you "remove the discontinuity" of f? In other words, how would you define f(4) in order to make f continuous at 4? Watch It f(4) = f(x) = x²-x-12 X - 4
Transcribed Image Text:How would you "remove the discontinuity" of f? In other words, how would you define f(4) in order to make f continuous at 4? Watch It f(4) = f(x) = x²-x-12 X - 4
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